`sqrt(1 + x/169)` =  `14/13`  `rArr`  1 + `x/169` = `196/169`   `rArr`  `x/169` = `(196/169 - 1)` =  `27/169``rArr` `x` = 27

`sqrt(48.4/0.289)`  = `sqrt(48.400/0.289)` =  `sqrt(48400/289)`  = `220/17` =  `12 16/17`

`sqrt(0.361/0.00169)` = `sqrt(0.36100/0.00169 ` = `sqrt(36100/189)` =  `190/13`

Let the number be  `x`  then,

`3/5 x^2 `=  126.15    `hArr`  `x^2` = ` (126.15xx 5/3)`   =  210.25  `hArr`  `x` = `sqrt(210.25)`    =  14.5.

`sqrt(a)/sqrt(b)`  = `(.004xx4)/(sqrt(.04xx4))`  `hArr`   `a/b` = `  (.004xx.4xx.004xx.4)/(.04xx.4)` = `.0000064/.04`

`:.`  `a/b` = ` .00064/4` =  .00016   =  `16/10^5` =  16 x `10^-5`

`sqrt((x - 1) (y + 2))`  = 7  `hArr`   (`x - 1 (y + 2)` = `7^2`   `hArr`  `(x - 1)` = 7 and ( y + 2) = 7

                                            `hArr`  `x` = 8 and y = 5.

`sqrt(1369) + sqrt(.0615 + x)` =  37.25,  = 37 + `sqrt(.0615 + x)`   =  37.25   `hArr`  `sqrt(.0615 + x)` = 0.25

`hArr`  .0615  + `x` = `(0.25)^2`  =  0.0625  `hArr`   `x`  =  .001 =  `1/10^3` =  `10^-3`

Let `sqrt(0.0169 xx x)` =  1.3,  Then , 0.0169`x` =  `(1.3)^2`  =  1.69   `hArr`   `x` =  `1.69/0.0169` =  100

Let `sqrt(.0196/?)`  = 0.2    , Then ,  `.0196/x `= 0.04  `hArr`  `x`  = `.0196/.04` = `1.96/4` =  .49

`sqrt(x)/sqrt(441)`  = 0.02  `hArr`  `sqrt(x)/21` = 0.02  `hArr`  `sqrt(x)`  =  0.02 x 21 =  0.42  `hArr`  `x`  = `(0.42)^2` =  0.1764.